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Leviafan [203]
2 years ago
6

Solve the system of linear equations by substitution. −2x−5y=3 3x+8y=−6

Mathematics
1 answer:
DochEvi [55]2 years ago
7 0

Answer:

x=6 y=-3

Step-by-step explanation:

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Find the exponential function that passes through the points (2,80) and (5,5120)​
juin [17]

Answer:

  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

  (y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

  a = y1/(b^(x1))

In summary:

  • b = (y2/y1)^(1/(x2 -x1))
  • a = y1·b^(-x1)

__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

  a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

  y = 5·4^x

3 0
2 years ago
HELP!!!! PLEASE I NEED HELP!!!!
NNADVOKAT [17]

for the first one it is the second option because of one property of logarithms:

log(a)-log(b)=log\frac{a}{b}

for the second one using the same property we can say that we third option is correct and not the second one but we use one more property of the logarithm

loga(b)^x=xloga(b) the power of the logarithm becomes a fator and \sqrt[3]{x} is equal to x^{\frac{1}{3}}

8 0
3 years ago
Find the total cost, including tax, of the following items:
frez [133]

Answer:

$10.23

Step-by-step explanation:

$2.19+$1.39+$3.69+$2.29=9.56

9.56 x 1.07=10.2292

You round to the nearest tenths place

$10.23

7 0
3 years ago
Which choice below represents the correct domain for an exponential growth or decay function?
dybincka [34]
D. {x | x E R} because its all real numbers
4 0
3 years ago
10. Two sides of a triangle have
Oksanka [162]
I think the answer is 6 from the information you provided.
7 0
3 years ago
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